Résumé
High losses generated by natural catastrophes reduce the availability of insurance. Among the ways to manage risk, the subscriptions of participating and non-participating contracts respectively permit to implement the two major principles in risk allocation: the mutuality and the transfer principles. Decomposing a global risk into its idiosyncratic and systemic components, we show that: the participating contract hedges the individual losses under a variable premium and the systemic risk is covered with a non-participating contract under a fixed premium. Based on Doherty and Schlesinger (2002) and Mahul (2002) approaches, our model replaces the nonparticipating contract by a financial one based on an index closely correlated to the systemic risk, under a basis risk. Despite the introduction of loading factors on both participating and financial contracts, which increase final loss, we prove that the combination of policies offers an optimal coverage that eliminates the basis risk and provides a sustainable solution for the insurer and the policyholder. We also put in evidence the necessary intermediation of insurance companies in the subscription of such contracts. Therefore, potential implications for crop risk management are studied.